化简:√(2a²-b²+2a√a²-b²)-√(a²-2b√a²-b²) 条件(a>√2b>0)
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![化简:√(2a²-b²+2a√a²-b²)-√(a²-2b√a²-b²) 条件(a>√2b>0)](/uploads/image/z/1666370-2-0.jpg?t=%E5%8C%96%E7%AE%80%3A%E2%88%9A%282a%26%23178%3B-b%26%23178%3B%2B2a%E2%88%9Aa%26%23178%3B-b%26%23178%3B%29-%E2%88%9A%28a%26%23178%3B-2b%E2%88%9Aa%26%23178%3B-b%26%23178%3B%29+%E6%9D%A1%E4%BB%B6%EF%BC%88a%EF%BC%9E%E2%88%9A2b%EF%BC%9E0%EF%BC%89)
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化简:√(2a²-b²+2a√a²-b²)-√(a²-2b√a²-b²) 条件(a>√2b>0)
化简:√(2a²-b²+2a√a²-b²)-√(a²-2b√a²-b²) 条件(a>√2b>0)
化简:√(2a²-b²+2a√a²-b²)-√(a²-2b√a²-b²) 条件(a>√2b>0)
√(2a²-b²+2a√a²-b²)-√(a²-2b√a²-b²)
=√((√a²-b²)^2+(2a√a²-b²)+a²)-√((√a²-b²)^2-(2b√a²-b²)+b²)
=√((√a²-b²)+a)^2-√((√a²-b²)-b)^2
=(√a²-b²)+a-(√a²-b²)-b
=a-b